Trisedodge comma: Difference between revisions

Interval information
Factorization	219 × 310 × 5-15
Monzo	[19 10 -15⟩
Size in cents	24.8443 ¢
Name	Trisedodge comma
FJS name	[math]\displaystyle{ \text{7d4}_{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	69.6785
Weil norm (log2 max(n, d))	69.6993
Wilson norm (sopfr(nd))	143
Comma size	small
	Open this interval in xen-calc

Latest revision as of 11:27, 5 September 2026

The trisedodge comma (monzo: [19 10 -15⟩, ratio: 30 958 682 112 / 30 517 578 125) is a small 5-limit comma of about 24.8 cents.

Tempering out this comma in the 5-limit leads to the trisedodge temperament.

See Trisedodge family for the family of temperaments where it is tempered out. .

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-The '''trisedodge comma''' is an interval of about 24.844 cents. It has the monzo [19 10 -15⟩ and the ratio '''30958682112 / 30517578125'''.
+The '''trisedodge comma''' ({{monzo|legend=1| 19 10 -15 }}, [[ratio]]: 30 958 682 112 / 30 517 578 125) is a [[small comma|small]] [[5-limit]] [[comma]] of about 24.8 [[cent]]s.
-It defines the [[trisedodge family]] of temperaments.
+== Temperaments ==
+[[Tempering out]] this comma in the 5-limit leads to the [[trisedodge]] temperament.
-{{todo|expand}}
+See [[Trisedodge family]] for the [[family of temperaments]] where it is tempered out. .
-[[Category:Commas with unknown etymology]]
+{{Todo|expand}}
+[[Category:Trisedodge]]
+[[Category:Commas named for their regular temperament properties]]